48 citations · 283 across the 18 of their papers we have counts for
20 papers
Block encoding of semiseparable matrices via their generators
Giacomo Antonioli, Gianna M. Del Corso, Roel Van Beeumen
We present an explicit quantum circuit that constructs a block encoding of a generator-representable semiseparable (one-pair) matrix directly from its two generators. For an $N\tim…
Efficient Calculation of Equilibrium Correlation Functions
Yizhi Shen, Roel Van Beeumen, Wibe A. de Jong +1
A majority of measurable dynamic quantities of a physical system is described as an equilibrium correlation function of the form , where …
Quantum Rational Transformation Using Linear Combinations of Hamiltonian Simulations
Yizhi Shen, Niel Van Buggenhout, Daan Camps +2
Rational functions are exceptionally powerful tools in scientific computing, yet their abilities to advance quantum algorithms remain largely untapped. In this paper, we introduce…
Long-lived oscillations of metastable states in neutral atom systems
Siva Darbha, Milan Kornjača, Fangli Liu +7
Metastable states arise in a range of quantum systems and can be observed in various dynamical scenarios, including decay, bubble nucleation, and long-lived oscillations. The pheno…
False vacuum decay and nucleation dynamics in neutral atom systems
Siva Darbha, Milan Kornjača, Fangli Liu +7
Metastable states of quantum many-body systems with confinement offer a means to simulate false vacuum phenomenology, including non-equilibrium dynamical processes like decay by nu…
A circuit-generated quantum subspace algorithm for the variational quantum eigensolver
Mark R. Hirsbrunner, J. Wayne Mullinax, Yizhi Shen +4
Recent research has shown that wavefunction evolution in real- and imaginary-time can generate quantum subspaces with significant utility for obtaining accurate ground state energi…
Simple Diagonal State Designs with Reconfigurable Real-Time Circuits
Yizhi Shen, Katherine Klymko, Eran Rabani +4
Unitary designs are widely used in quantum computation, but in many practical settings it suffices to construct a diagonal state design generated with unitary gates diagonal in the…
Algebraic Compression of Free Fermionic Quantum Circuits: Particle Creation, Arbitrary Lattices and Controlled Evolution
Efekan Kökcü, Daan Camps, Lindsay Bassman Oftelie +3
Recently we developed a local and constructive algorithm based on Lie algebraic methods for compressing Trotterized evolution under Hamiltonians that can be mapped to free fermions…
QCLAB++: Simulating Quantum Circuits on GPUs
Roel Van Beeumen, Daan Camps, Neil Mehta
We introduce qclab++, a light-weight, fully-templated C++ package for GPU-accelerated quantum circuit simulations. The code offers a high degree of portability as it has no externa…
Simulating dirty bosons on a quantum computer
Lindsay Bassman Oftelie, Roel Van Beeumen, Daan Camps +2
The physics of dirty bosons highlights the intriguing interplay of disorder and interactions in quantum systems, playing a central role in describing, for instance, ultracold gases…
FABLE: Fast Approximate Quantum Circuits for Block-Encodings
Daan Camps, Roel Van Beeumen
Block-encodings of matrices have become an essential element of quantum algorithms derived from the quantum singular value transformation. This includes a variety of algorithms ran…
Explicit Quantum Circuits for Block Encodings of Certain Sparse Matrices
Daan Camps, Lin Lin, Roel Van Beeumen +1
Many standard linear algebra problems can be solved on a quantum computer by using recently developed quantum linear algebra algorithms that make use of block encodings and quantum…
Algebraic Compression of Quantum Circuits for Hamiltonian Evolution
Efekan Kökcü, Daan Camps, Lindsay Bassman +4
Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. Synthesizing the corresponding quantum circuit is typically done by break…
An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian Simulation
Daan Camps, Efekan Kökcü, Lindsay Bassman +3
Quantum computing is a promising technology that harnesses the peculiarities of quantum mechanics to deliver computational speedups for some problems that are intractable to solve…
Constant-Depth Circuits for Dynamic Simulations of Materials on Quantum Computers
Lindsay Bassman, Roel Van Beeumen, Ed Younis +3
Dynamic simulation of materials is a promising application for near-term quantum computers. Current algorithms for Hamiltonian simulation, however, produce circuits that grow in de…
Solving a Class of Infinite-Dimensional Tensor Eigenvalue Problems by Translational Invariant Tensor Ring Approximations
Roel Van Beeumen, Lana Periša, Daniel Kressner +1
We examine a method for solving an infinite-dimensional tensor eigenvalue problem , where the infinite-dimensional symmetric matrix exhibits a translational invariant…
Enhancing Scalability of a Matrix-Free Eigensolver for Studying Many-Body Localization
Roel Van Beeumen, Khaled Z. Ibrahim, Gregory D. Kahanamoku-Meyer +2
In [Van Beeumen, et. al, HPC Asia 2020, https://www.doi.org/10.1145/3368474.3368497] a scalable and matrix-free eigensolver was proposed for studying the many-body localization (MB…
Approximate Quantum Circuit Synthesis using Block-Encodings
Daan Camps, Roel Van Beeumen
One of the challenges in quantum computing is the synthesis of unitary operators into quantum circuits with polylogarithmic gate complexity. Exact synthesis of generic unitaries re…
Chemistry on quantum computers with virtual quantum subspace expansion
Miroslav Urbanek, Daan Camps, Roel Van Beeumen +1
Simulating chemical systems on quantum computers has been limited to a few electrons in a minimal basis. We demonstrate experimentally that the virtual quantum subspace expansion […
A Model Order Reduction Algorithm for Estimating the Absorption Spectrum
Roel Van Beeumen, David B. Williams-Young, Joseph M. Kasper +3
The ab initio description of the spectral interior of the absorption spectrum poses both a theoretical and computational challenge for modern electronic structure theory. Due to th…